Asymptotics and Formulas for Cubic Exponential Sums

被引：0

作者：

Hiary, Ghaith A. ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, 231 West 18th Ave, Columbus, OH 43210 USA

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2017年 / 299卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1134/S0081543817080053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several asymptotic expansions and formulas for cubic exponential sums are derived. The expansions are most useful when the cubic coefficient is in a restricted range. This generalizes previous results in the quadratic case and helps to clarify how to numerically approximate cubic exponential sums and how to obtain upper bounds for them in some cases.

引用

页码：78 / 95

页数：18

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